Given the schema R $=($A$,$ B$,$ C$)$ and a set a set F $=\{$ A $->$ BC$,$ B $->$ C$,$ A $->$ B$,$ AB $->$C$\}$ of FDs that holds on R$.$ Which of the following statements is correct?

Question $3$ options:

We can show that the attribute B is extraneous in the FD A $->$ BC

We can show that the attribute C is extraneous in the FD A $->$ BC

We can show that the attribute B is extraneous in the FD AB $->$ C

All of the above

None of the abov